Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
The question is incomplete:
17. Tonya's mother is 1.5 times as tall as Tonya was when she was 6. How tall is Tonya's mother? Use the correct number of significant digits.
The image with the information about Tonya's height is attached.
Answer:
68 in.
Step-by-step explanation:
According to the information given, you can write the following expression:
x=1.5y
x=Tonya's mother height
y= Tony's height when she was 6
Also, you know from the table that Tonya's height when she was 6 was 45 in. and you can replace this value in the formula:
x=1.5*45
x=67.5
Because of this, the answer is that Tonya's mother height is 68 in.
Answer:
Step-by-step explanation:
GIVEN: Tina, Sijil, Kia, vinayash Alisha and shifa are playing game by forming two teams Three players in each team.
TO FIND: how many different ways can they be put into two teams of three players.
SOLUTION:
Total number of players 
total teams to be formed 
total players in one team 
we have to number of ways of selecting 
players for one team, rest will go in other team.
Total number of ways of selecting players 
Hence total number of different ways in which they can be put into two different teams is 
Answer:
Step-by-step explanation:
because 
is 11-4, which is 7. And you don't change the x.
Answer:
50.72 us fl oz
Step-by-step explanation:
Given:
500 ml of ingredient to be mixed with 1000 ml of another ingredient.
Now we need to convert ml into Ounces.
Formula:
